import numpy as np
import pandas as pd
from sklearn.preprocessing import StandardScaler
import matplotlib.pyplot as plt
import seaborn as sns
%matplotlib inline
import warnings
warnings.filterwarnings('ignore')
import tensorflow as tf
from tensorflow import keras
import umap.umap_ as umap
%config InlineBackend.figure_format = 'svg'
np.random.seed(42)
pd.set_option('display.max_columns', None)
pd.set_option('display.max_rows', 100)
data=pd.read_csv('Preprocessed_DM_xx.csv')
np.random.seed(42)
data=data.sample(frac=1) #Shuffle the data set
np.random.seed(42)
HTN_indexes=data.loc[(data['Currently.taking.a.prescribed.medicine.to.lower.BP'] != 0) | (data['First.SYSTOLIC.reading'] >= 140) | (data['First.DIASTOLIC.reading'] >= 90) ].index.values
HTN_cols=np.zeros(data.shape[0])
HTN_cols[[HTN_indexes]]=1
data['HTN']=HTN_cols
data=data.drop(["First.SYSTOLIC.reading","First.DIASTOLIC.reading","Currently.taking.a.prescribed.medicine.to.lower.BP"], axis=1)
data=data.reset_index(drop=True)
data.columns
data=data.drop(["Hb_adjust_alt_smok","Second.SYSTOLIC.reading","Second.DIASTOLIC.reading","Third.SYSTOLIC.reading","Third.DIASTOLIC.reading","Hb_status","Glucose.level",'SBP_status'], axis=1)
data=data.loc[data['BMI'] != 99.99]
data=data.loc[data['Hemoglobin.level..g.dl...1.decimal.'] != 99.99]
data=data.loc[data['Currently.has.asthma'] != .5]
data=data.loc[data['Currently.has.thyroid.disorder'] != .5]
data=data.loc[data['Currently.has.heart.disease'] != .5]
data=data.loc[data['Currently.has.cancer'] != .5]
data=data.loc[data['DM_history'] == 1]
data=data.loc[data['Type.of.caste.or.tribe.of.the.household.head'] != 0]
data=data.loc[data['Time.to.get.to.water.source..minutes.'] != -1]
data=data.drop(["Unnamed: 0","DM_status","DM_history"], axis=1)
np.random.seed(42)
i=[x for x in range(10125)]
data.set_index(pd.Series(i), inplace=True) # Reset the index
Creating 2 new dataframes: "data_disease" with features related to disease and "data_others" with rest of the features
data_disease= data[['Currently.has.asthma',
'Currently.has.thyroid.disorder', 'Currently.has.heart.disease',
'Currently.has.cancer', 'Suffers.from.TB','HTN']]
data_others= data[['Drinks.alcohol', 'Smoking_stat','Has.refrigerator',
'Has.bicycle', 'Has.motorcycle.scooter', 'Has.car.truck', 'Owns.livestock..herds.or.farm.animals','Frequency.takes.milk.or.curd',
'Frequency.eats.pulses.or.beans',
'Frequency.eats.dark.green.leafy.vegetable', 'Frequency.eats.fruits',
'Frequency.eats.eggs', 'Frequency.eats.fish',
'Frequency.eats.chicken.or.meat', 'Frequency.eats.fried.food',
'Frequency.takes.aerated.drinks','Frequency.household.members.smoke.inside.the.house','Wealth.index',
'Highest.educational.level', 'Current.age','BMI','Hemoglobin.level..g.dl...1.decimal.','Time.to.get.to.water.source..minutes.', 'Household.head.s.religion', 'Sex', 'Type.of.place.of.residence', 'Household.structure',
'Type.of.caste.or.tribe.of.the.household.head','Type.of.cooking.fuel','Source.of.drinking.water']]
def feature_clustering(UMAP_neb,min_dist_UMAP, metric, data, visual):
import umap.umap_ as umap
np.random.seed(42)
data_embedded = umap.UMAP(n_neighbors=UMAP_neb, min_dist=min_dist_UMAP, n_components=2, metric=metric, random_state=42).fit_transform(data)
data_embedded[:,0]=(data_embedded[:,0]- np.mean(data_embedded[:,0]))/np.std(data_embedded[:,0])
data_embedded[:,1]=(data_embedded[:,1]- np.mean(data_embedded[:,1]))/np.std(data_embedded[:,1])
result = pd.DataFrame(data = data_embedded ,
columns = ['UMAP_0', 'UMAP_1'])
if visual==1:
sns.lmplot( x="UMAP_0", y="UMAP_1",data=result,fit_reg=False,legend=False,scatter_kws={"s": 3},palette=customPalette_set1) # specify the point size
#plt.savefig('clusters_umap_all.png', dpi=700, bbox_inches='tight')
plt.show()
else:
pass
return result
ord_list=['Drinks.alcohol', 'Smoking_stat','Has.refrigerator',
'Has.bicycle', 'Has.motorcycle.scooter', 'Has.car.truck', 'Owns.livestock..herds.or.farm.animals','Frequency.takes.milk.or.curd',
'Frequency.eats.pulses.or.beans',
'Frequency.eats.dark.green.leafy.vegetable', 'Frequency.eats.fruits',
'Frequency.eats.eggs', 'Frequency.eats.fish',
'Frequency.eats.chicken.or.meat', 'Frequency.eats.fried.food',
'Frequency.takes.aerated.drinks','Frequency.household.members.smoke.inside.the.house','Wealth.index',
'Highest.educational.level' ]
cont_list=['Current.age','BMI','Hemoglobin.level..g.dl...1.decimal.','Time.to.get.to.water.source..minutes.']
nom_list=['Household.head.s.religion', 'Sex', 'Type.of.place.of.residence', 'Household.structure',
'Type.of.caste.or.tribe.of.the.household.head','Type.of.cooking.fuel','Source.of.drinking.water']
def FDC(data,cont_list,nom_list,ord_list,cont_metric, ord_metric, nom_metric, drop_nominal, visual):
np.random.seed(42)
colors_set1 = ["lightcoral", "lightseagreen", "mediumorchid", "orange", "burlywood", "cornflowerblue", "plum", "yellowgreen"]
customPalette_set1 = sns.set_palette(sns.color_palette(colors_set1))
cont_df=data[cont_list]
nom_df=data[nom_list]
ord_df=data[ord_list]
cont_emb=feature_clustering(30,0.1, cont_metric, cont_df, 0) #Reducing continueous features into 2dim
ord_emb=feature_clustering(30,0.1, ord_metric, ord_df, 0) #Reducing ordinal features into 2dim
nom_emb=feature_clustering(30,0.1, nom_metric, nom_df, 0) #Reducing nominal features into 2dim
if drop_nominal==1:
result_concat=pd.concat([ord_emb.drop(['UMAP_1'],axis=1), cont_emb.drop(['UMAP_1'],axis=1), nom_emb.drop(['UMAP_1'],axis=1)],axis=1) #concatinating all reduced dimensions to get 5D embedding(1D from nominal)
else:
result_concat=pd.concat([ord_emb, cont_emb, nom_emb],axis=1)
data_embedded = umap.UMAP(n_neighbors=30, min_dist=0.001, n_components=2, metric='euclidean', random_state=42).fit_transform(result_concat) #reducing 5D embedding to 2D using UMAP
result_reduced = pd.DataFrame(data = data_embedded ,
columns = ['UMAP_0', 'UMAP_1'])
if visual==1:
sns.lmplot( x="UMAP_0", y="UMAP_1",data=result_reduced,fit_reg=False,legend=False,scatter_kws={"s": 3},palette=customPalette_set1) # specify the point size
plt.show()
#plt.savefig('clusters_umap_all.png', dpi=700, bbox_inches='tight')
else:
pass
return result_concat, result_reduced #returns both 5D and 2D embedding
# applying Feature Distributed Clustering(FDC) on entire 10125 data with all features except disease features
entire_data_FDC_emb_three,entire_data_FDC_emb_two=FDC(data_others,cont_list,nom_list,ord_list,'euclidean','canberra','hamming',1,1)
def Kmeans(no_of_clusters,three_d_embedding, two_d_embedding,visual,pal):
np.random.seed(42)
from sklearn.cluster import KMeans
kmeans = KMeans(n_clusters=no_of_clusters)
clusters=kmeans.fit_predict(three_d_embedding)
(values,counts) = np.unique(clusters,return_counts=True)
two_d_embedding['Cluster'] = clusters
if visual==1:
sns.lmplot( x="UMAP_0", y="UMAP_1",
data=two_d_embedding,
fit_reg=False,
legend=True,
hue='Cluster', # color by cluster
scatter_kws={"s": 3},palette=pal) # specify the point size
plt.savefig('k-means_ref_3dim.png', dpi=700, bbox_inches='tight')
plt.show()
else:
pass
return two_d_embedding.Cluster.to_list(),counts
#setting color palette for visualization of clusters
colors_set1 = ['lightcoral','cornflowerblue','orange','mediumorchid', 'lightseagreen','olive', 'chocolate','steelblue']
customPalette_set1 = sns.set_palette(sns.color_palette(colors_set1))
#Applying clustering algorithm on FDC embedding from entire data
entire_data_cluster_list,entire_data_cluster_counts=Kmeans(4,entire_data_FDC_emb_three,entire_data_FDC_emb_two,1,customPalette_set1)
#Getting noise indices
non_noise_indices= np.where(np.array(entire_data_cluster_list)!=-1)
#Removing noise/outlires from FDC embedding and from entire data
entire_data_FDC_emb_three= entire_data_FDC_emb_three.iloc[non_noise_indices]
entire_data_FDC_emb_two= entire_data_FDC_emb_two.iloc[non_noise_indices]
entire_data_cluster_list= np.array(entire_data_cluster_list)[non_noise_indices]
data_others= data_others.iloc[non_noise_indices]
#Creating new cloumn for storing cluster labels
data_others['cluster_labels']= entire_data_cluster_list
#getting binary representation for cluster labels
data_others= pd.get_dummies(data=data_others, columns=['cluster_labels'])
#Getting column names of encoded cluster labels
cluster_column_names=data_others.columns[-len(np.unique(entire_data_cluster_list)):].to_list()
#75% of entire data for training
np.random.seed(42)
data=data_others.sample(frac=0.75) # Training data
#Another 25% of entire data for validation
np.random.seed(42)
data_val=data_others.drop(data.index) # Validation data
#Dividing training data into three folds
np.random.seed(42)
df_1=data.sample(frac=0.33) #fold 1
df=data.drop(df_1.index)
df_2=df.sample(frac=0.51) #fold 2
df_3=df.drop(df_2.index) #fold 3
np.random.seed(42)
#Possible combinations of concating 2 folds for training and using remaining fold for testing
training_folds=[pd.concat([df_1,df_2],axis=0), pd.concat([df_2,df_3],axis=0), pd.concat([df_3,df_1],axis=0)]
testing_folds=[df_3,df_1,df_2]
def neural_network(n_features,hidden_dim1,hidden_dim2,out_emb_size,act1,act2,loss):
np.random.seed(42)
tf.random.set_seed(42)
model=keras.Sequential([
keras.layers.Dense(hidden_dim1,input_dim=n_features,activation=act1),
keras.layers.Dense(hidden_dim1,activation=act2),
keras.layers.Dense(out_emb_size)])
model.compile(optimizer="adam" ,
loss=loss,
metrics=['mse'])
return model
def cluster_incidence_matrix_mod(cluster_list_new):
np.random.seed(42)
matrix=np.zeros((len(cluster_list_new),len(cluster_list_new)))
for i in range(len(cluster_list_new)):
for j in range(len(cluster_list_new)):
if cluster_list_new[i]==cluster_list_new[j]:
matrix[i,j]=1
else:
pass
return matrix
#Function for decoding the encoded cluster labels
def label_decoder(label_dataframe):
label_array=np.array(label_dataframe)
decoded_labels=[]
for i in label_array:
max_val=np.argmax(i)
decoded_labels.append(max_val)
return decoded_labels
colnames=[]
for i in range(len(entire_data_FDC_emb_three.columns)):
colnames.append('c'+str(i+1))
np.random.seed(42)
count=0
fold_readings=[]
while count<3:
FDC_emb_three_train=entire_data_FDC_emb_three.loc[list(training_folds[count].index)] #3D FDC embedding of training fold from entire data
FDC_emb_two_train=entire_data_FDC_emb_two.loc[list(training_folds[count].index)] #2D embedding of training fold from entire data
FDC_emb_three_train.columns=colnames
#Thirty dimensional data of training fold as features_matrix(X_train)
features_matrix=np.array(training_folds[count].drop(cluster_column_names, axis=1,inplace=False)) #X_train
#three dimensional FDC embedding of training fold as target_matrix(y_train)
target_matrix=np.array(FDC_emb_three_train) #y_train
#Train a neural network to get five dimensional embedding
model_1=neural_network(len(features_matrix[0]),int(0.6*len(features_matrix[0])),int(0.36*len(features_matrix[0])),len(target_matrix[0]),"relu","sigmoid","mse")
history=model_1.fit(features_matrix,target_matrix,epochs=30,batch_size=8)
print('\n')
print('Training history across epochs for fold ',count+1)
plt.plot(history.history['mse'],'r')
plt.ylabel('mse')
plt.xlabel('epoch')
plt.show()
#Using same thirty dimensional features_matrix(X_train) from first neural network and encoded cluster labels of training fold as target_labels_matrix(y_train)
target_labels_matrix=np.array(training_folds[count].loc[:,cluster_column_names]) #y
#Train a neural network to get encoded cluster labels
model_2=neural_network(len(features_matrix[0]),int(0.6*len(features_matrix[0])),int(0.36*len(features_matrix[0])),len(target_labels_matrix[0]),"relu","softmax","mse")
history=model_2.fit(features_matrix,target_labels_matrix,epochs=30,batch_size=8)
print('\n')
print('Training history across epochs for fold ',count+1)
plt.plot(history.history['mse'],'r')
plt.ylabel('mse')
plt.xlabel('epoch')
plt.show()
#Decoding cluster labels of training fold
decoded_target_labels_matrix=label_decoder(target_labels_matrix)
#Actual encoded cluster labels of testing fold for metric calculation
ref_clusters=testing_folds[count].loc[:,cluster_column_names]
#Decoding encoded cluster labels of testing fold
decoded_ref_clusters=label_decoder(ref_clusters)
#predicting testing fold to get three dim embedding using trained model_1
testing_data=testing_folds[count].drop(cluster_column_names, axis=1,inplace=False)
predicted_3dim=pd.DataFrame(model_1.predict(testing_data), columns=colnames)
#UMAP on predicted 3D embedding
predicted_2dim=feature_clustering(30,0.01, "euclidean", predicted_3dim, 0)
#predicting testing fold to get encoded cluster labels using trained model_2
predicted_clusters=pd.DataFrame(model_2.predict(testing_data))
#Decoding predicted encoded cluster labels
decoded_predicted_clusters=label_decoder(predicted_clusters)
#concatinating training and predicted 3D embedding
concatenated_3dim=pd.concat([FDC_emb_three_train,predicted_3dim])
#UMAP on concatinated embedding
two_dim_viz=feature_clustering(30, 0.01, 'euclidean', concatenated_3dim, 0)
#Concatinating decoded cluster labels of training fold and predicted testing fold
concatenated_cluster_labels=np.concatenate([np.array(decoded_target_labels_matrix),np.array(decoded_predicted_clusters)+len(np.unique(decoded_target_labels_matrix))])
two_dim_viz['Cluster']= concatenated_cluster_labels
#Setting dark colors for training data
darkerhues=['lightcoral','cornflowerblue','orange','mediumorchid', 'lightseagreen','olive', 'chocolate','steelblue']
colors_set2=[]
for i in range(len(np.unique(decoded_target_labels_matrix))):
colors_set2.append(darkerhues[i])
#Concatinating dark colors for training data and corresponding light colors for testing data
colors_set2=colors_set2+["lightpink", 'skyblue', 'wheat', "plum","paleturquoise", "lightgreen", 'burlywood','lightsteelblue']
print('Vizualization for FDC for training fold (shown in dark hue) '+str(count+1) + 'and predicted clusters from neural network on testing fold (shown in corresponding light hues) '+str(count+1))
#visualizing the clusters of both training and testing folds
sns.lmplot( x="UMAP_0", y="UMAP_1", data=two_dim_viz, fit_reg=False, legend=False, hue='Cluster', scatter_kws={"s": 3},palette=sns.set_palette(sns.color_palette(colors_set2)))
plt.show()
#Metric calculation
CIM_predicted=cluster_incidence_matrix_mod(np.array(decoded_predicted_clusters))#Cluster incidence metric for predicted clusters
CIM_reference=cluster_incidence_matrix_mod(np.array(decoded_ref_clusters))#Cluster incidence metric for reference clusters
Product=np.dot(CIM_predicted,CIM_reference)
cluster_incdences_in_data=np.sum(CIM_reference,axis=1)
mean_points_in_same_clusters=np.mean(np.diagonal(Product)/cluster_incdences_in_data)
fold_readings.append(mean_points_in_same_clusters*100)
print("Average percentage of patients belongs to the same cluster is: {}%".format(mean_points_in_same_clusters*100))
print('\n')
count+=1
print('\n')
print('\n')
Epoch 1/30 638/638 [==============================] - 2s 2ms/step - loss: 0.6788 - mse: 0.6788 Epoch 2/30 638/638 [==============================] - 1s 989us/step - loss: 0.4396 - mse: 0.4396 Epoch 3/30 638/638 [==============================] - 1s 1ms/step - loss: 0.4002 - mse: 0.4002 Epoch 4/30 638/638 [==============================] - 1s 1ms/step - loss: 0.3827 - mse: 0.3827 Epoch 5/30 638/638 [==============================] - 1s 1ms/step - loss: 0.3710 - mse: 0.3710 Epoch 6/30 638/638 [==============================] - 1s 1ms/step - loss: 0.3630 - mse: 0.3630 Epoch 7/30 638/638 [==============================] - 1s 1ms/step - loss: 0.3539 - mse: 0.3539 Epoch 8/30 638/638 [==============================] - 1s 1ms/step - loss: 0.3466 - mse: 0.3466 Epoch 9/30 638/638 [==============================] - 1s 2ms/step - loss: 0.3398 - mse: 0.3398 Epoch 10/30 638/638 [==============================] - 1s 999us/step - loss: 0.3337 - mse: 0.3337 Epoch 11/30 638/638 [==============================] - 1s 995us/step - loss: 0.3292 - mse: 0.3292 Epoch 12/30 638/638 [==============================] - 1s 1ms/step - loss: 0.3264 - mse: 0.3264 Epoch 13/30 638/638 [==============================] - 1s 1ms/step - loss: 0.3211 - mse: 0.3211 Epoch 14/30 638/638 [==============================] - 1s 1ms/step - loss: 0.3155 - mse: 0.3155 Epoch 15/30 638/638 [==============================] - 1s 1ms/step - loss: 0.3090 - mse: 0.3090 Epoch 16/30 638/638 [==============================] - 1s 1ms/step - loss: 0.3016 - mse: 0.3016 Epoch 17/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2937 - mse: 0.2937 Epoch 18/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2854 - mse: 0.2854 Epoch 19/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2722 - mse: 0.2722 Epoch 20/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2612 - mse: 0.2612 Epoch 21/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2506 - mse: 0.2506 Epoch 22/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2406 - mse: 0.2406 Epoch 23/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2314 - mse: 0.2314 Epoch 24/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2236 - mse: 0.2236 Epoch 25/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2177 - mse: 0.2177 Epoch 26/30 638/638 [==============================] - 1s 990us/step - loss: 0.2111 - mse: 0.2111 Epoch 27/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2073 - mse: 0.2073 Epoch 28/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2033 - mse: 0.2033 Epoch 29/30 638/638 [==============================] - 1s 1ms/step - loss: 0.2000 - mse: 0.2000 Epoch 30/30 638/638 [==============================] - 1s 1ms/step - loss: 0.1958 - mse: 0.1958 Training history across epochs for fold 1
Epoch 1/30 638/638 [==============================] - 1s 1ms/step - loss: 0.1416 - mse: 0.1416 Epoch 2/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0843 - mse: 0.0843 Epoch 3/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0571 - mse: 0.0571 Epoch 4/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0530 - mse: 0.0530 Epoch 5/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0509 - mse: 0.0509 Epoch 6/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0501 - mse: 0.0501 Epoch 7/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0498 - mse: 0.0498 Epoch 8/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0490 - mse: 0.0490 Epoch 9/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0484 - mse: 0.0484 Epoch 10/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0479 - mse: 0.0479 Epoch 11/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0479 - mse: 0.0479 Epoch 12/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0474 - mse: 0.0474 Epoch 13/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0472 - mse: 0.0472 Epoch 14/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0470 - mse: 0.0470 Epoch 15/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0467 - mse: 0.0467 Epoch 16/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0464 - mse: 0.0464 Epoch 17/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0459 - mse: 0.0459 Epoch 18/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0453 - mse: 0.0453 Epoch 19/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0446 - mse: 0.0446 Epoch 20/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0440 - mse: 0.0440 Epoch 21/30 638/638 [==============================] - 1s 989us/step - loss: 0.0437 - mse: 0.0437 Epoch 22/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0432 - mse: 0.0432 Epoch 23/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0421 - mse: 0.0421 Epoch 24/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0414 - mse: 0.0414 Epoch 25/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0410 - mse: 0.0410 Epoch 26/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0402 - mse: 0.0402 Epoch 27/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0396 - mse: 0.0396 Epoch 28/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0393 - mse: 0.0393 Epoch 29/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0388 - mse: 0.0388 Epoch 30/30 638/638 [==============================] - 1s 1ms/step - loss: 0.0383 - mse: 0.0383 Training history across epochs for fold 1
78/78 [==============================] - 0s 962us/step 78/78 [==============================] - 0s 814us/step Vizualization for FDC for training fold (shown in dark hue) 1and predicted clusters from neural network on testing fold (shown in corresponding light hues) 1
Average percentage of patients belongs to the same cluster is: 88.98572337013844% Epoch 1/30 636/636 [==============================] - 1s 970us/step - loss: 0.6676 - mse: 0.6676 Epoch 2/30 636/636 [==============================] - 1s 991us/step - loss: 0.4311 - mse: 0.4311 Epoch 3/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3923 - mse: 0.3923 Epoch 4/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3757 - mse: 0.3757 Epoch 5/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3644 - mse: 0.3644 Epoch 6/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3562 - mse: 0.3562 Epoch 7/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3507 - mse: 0.3507 Epoch 8/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3455 - mse: 0.3455 Epoch 9/30 636/636 [==============================] - 1s 966us/step - loss: 0.3397 - mse: 0.3397 Epoch 10/30 636/636 [==============================] - 1s 954us/step - loss: 0.3364 - mse: 0.3364 Epoch 11/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3332 - mse: 0.3332 Epoch 12/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3295 - mse: 0.3295 Epoch 13/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3266 - mse: 0.3266 Epoch 14/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3234 - mse: 0.3234 Epoch 15/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3208 - mse: 0.3208 Epoch 16/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3183 - mse: 0.3183 Epoch 17/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3135 - mse: 0.3135 Epoch 18/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3095 - mse: 0.3095 Epoch 19/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3057 - mse: 0.3057 Epoch 20/30 636/636 [==============================] - 1s 1ms/step - loss: 0.3014 - mse: 0.3014 Epoch 21/30 636/636 [==============================] - 1s 932us/step - loss: 0.2952 - mse: 0.2952 Epoch 22/30 636/636 [==============================] - 1s 970us/step - loss: 0.2908 - mse: 0.2908 Epoch 23/30 636/636 [==============================] - 1s 1ms/step - loss: 0.2849 - mse: 0.2849 Epoch 24/30 636/636 [==============================] - 1s 1ms/step - loss: 0.2726 - mse: 0.2726 Epoch 25/30 636/636 [==============================] - 1s 1ms/step - loss: 0.2544 - mse: 0.2544 Epoch 26/30 636/636 [==============================] - 1s 1ms/step - loss: 0.2415 - mse: 0.2415 Epoch 27/30 636/636 [==============================] - 1s 979us/step - loss: 0.2304 - mse: 0.2304 Epoch 28/30 636/636 [==============================] - 1s 960us/step - loss: 0.2205 - mse: 0.2205 Epoch 29/30 636/636 [==============================] - 1s 1ms/step - loss: 0.2130 - mse: 0.2130 Epoch 30/30 636/636 [==============================] - 1s 1ms/step - loss: 0.2063 - mse: 0.2063 Training history across epochs for fold 2
Epoch 1/30 636/636 [==============================] - 1s 1ms/step - loss: 0.1431 - mse: 0.1431 Epoch 2/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0706 - mse: 0.0706 Epoch 3/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0504 - mse: 0.0504 Epoch 4/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0482 - mse: 0.0482 Epoch 5/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0473 - mse: 0.0473 Epoch 6/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0465 - mse: 0.0465 Epoch 7/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0458 - mse: 0.0458 Epoch 8/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0454 - mse: 0.0454 Epoch 9/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0447 - mse: 0.0447 Epoch 10/30 636/636 [==============================] - 1s 938us/step - loss: 0.0436 - mse: 0.0436 Epoch 11/30 636/636 [==============================] - 1s 979us/step - loss: 0.0420 - mse: 0.0420 Epoch 12/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0409 - mse: 0.0409 Epoch 13/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0402 - mse: 0.0402 Epoch 14/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0392 - mse: 0.0392 Epoch 15/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0382 - mse: 0.0382 Epoch 16/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0378 - mse: 0.0378 Epoch 17/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0373 - mse: 0.0373 Epoch 18/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0365 - mse: 0.0365 Epoch 19/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0365 - mse: 0.0365 Epoch 20/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0359 - mse: 0.0359 Epoch 21/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0357 - mse: 0.0357 Epoch 22/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0354 - mse: 0.0354 Epoch 23/30 636/636 [==============================] - 1s 954us/step - loss: 0.0351 - mse: 0.0351 Epoch 24/30 636/636 [==============================] - 1s 958us/step - loss: 0.0349 - mse: 0.0349 Epoch 25/30 636/636 [==============================] - 1s 978us/step - loss: 0.0346 - mse: 0.0346 Epoch 26/30 636/636 [==============================] - 1s 993us/step - loss: 0.0343 - mse: 0.0343 Epoch 27/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0343 - mse: 0.0343 Epoch 28/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0343 - mse: 0.0343 Epoch 29/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0336 - mse: 0.0336 Epoch 30/30 636/636 [==============================] - 1s 1ms/step - loss: 0.0335 - mse: 0.0335 Training history across epochs for fold 2
79/79 [==============================] - 0s 801us/step 79/79 [==============================] - 0s 676us/step Vizualization for FDC for training fold (shown in dark hue) 2and predicted clusters from neural network on testing fold (shown in corresponding light hues) 2
Average percentage of patients belongs to the same cluster is: 86.46240002768687% Epoch 1/30 625/625 [==============================] - 1s 998us/step - loss: 0.6540 - mse: 0.6540 Epoch 2/30 625/625 [==============================] - 1s 1ms/step - loss: 0.4236 - mse: 0.4236 Epoch 3/30 625/625 [==============================] - 1s 1ms/step - loss: 0.3862 - mse: 0.3862 Epoch 4/30 625/625 [==============================] - 1s 1ms/step - loss: 0.3700 - mse: 0.3700 Epoch 5/30 625/625 [==============================] - 1s 1ms/step - loss: 0.3599 - mse: 0.3599 Epoch 6/30 625/625 [==============================] - 1s 1ms/step - loss: 0.3518 - mse: 0.3518 Epoch 7/30 625/625 [==============================] - 1s 1ms/step - loss: 0.3454 - mse: 0.3454 Epoch 8/30 625/625 [==============================] - 1s 1ms/step - loss: 0.3364 - mse: 0.3364 Epoch 9/30 625/625 [==============================] - 1s 1ms/step - loss: 0.3277 - mse: 0.3277 Epoch 10/30 625/625 [==============================] - 1s 1ms/step - loss: 0.3172 - mse: 0.3172 Epoch 11/30 625/625 [==============================] - 1s 1ms/step - loss: 0.3052 - mse: 0.3052 Epoch 12/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2907 - mse: 0.2907 Epoch 13/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2773 - mse: 0.2773 Epoch 14/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2651 - mse: 0.2651 Epoch 15/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2568 - mse: 0.2568 Epoch 16/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2468 - mse: 0.2468 Epoch 17/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2395 - mse: 0.2395 Epoch 18/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2316 - mse: 0.2316 Epoch 19/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2270 - mse: 0.2270 Epoch 20/30 625/625 [==============================] - 1s 985us/step - loss: 0.2235 - mse: 0.2235 Epoch 21/30 625/625 [==============================] - 1s 999us/step - loss: 0.2182 - mse: 0.2182 Epoch 22/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2159 - mse: 0.2159 Epoch 23/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2125 - mse: 0.2125 Epoch 24/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2088 - mse: 0.2088 Epoch 25/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2098 - mse: 0.2098 Epoch 26/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2037 - mse: 0.2037 Epoch 27/30 625/625 [==============================] - 1s 1ms/step - loss: 0.2033 - mse: 0.2033 Epoch 28/30 625/625 [==============================] - 1s 1ms/step - loss: 0.1992 - mse: 0.1992 Epoch 29/30 625/625 [==============================] - 1s 997us/step - loss: 0.1988 - mse: 0.1988 Epoch 30/30 625/625 [==============================] - 1s 1ms/step - loss: 0.1965 - mse: 0.1965 Training history across epochs for fold 3
Epoch 1/30 625/625 [==============================] - 1s 1ms/step - loss: 0.1427 - mse: 0.1427 Epoch 2/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0881 - mse: 0.0881 Epoch 3/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0581 - mse: 0.0581 Epoch 4/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0521 - mse: 0.0521 Epoch 5/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0499 - mse: 0.0499 Epoch 6/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0488 - mse: 0.0488 Epoch 7/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0481 - mse: 0.0481 Epoch 8/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0475 - mse: 0.0475 Epoch 9/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0473 - mse: 0.0473 Epoch 10/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0467 - mse: 0.0467 Epoch 11/30 625/625 [==============================] - 1s 983us/step - loss: 0.0465 - mse: 0.0465 Epoch 12/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0462 - mse: 0.0462 Epoch 13/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0459 - mse: 0.0459 Epoch 14/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0458 - mse: 0.0458 Epoch 15/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0457 - mse: 0.0457 Epoch 16/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0455 - mse: 0.0455 Epoch 17/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0453 - mse: 0.0453 Epoch 18/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0452 - mse: 0.0452 Epoch 19/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0454 - mse: 0.0454 Epoch 20/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0451 - mse: 0.0451 Epoch 21/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0449 - mse: 0.0449 Epoch 22/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0450 - mse: 0.0450 Epoch 23/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0449 - mse: 0.0449 Epoch 24/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0447 - mse: 0.0447 Epoch 25/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0446 - mse: 0.0446 Epoch 26/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0446 - mse: 0.0446 Epoch 27/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0446 - mse: 0.0446 Epoch 28/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0448 - mse: 0.0448 Epoch 29/30 625/625 [==============================] - 1s 985us/step - loss: 0.0444 - mse: 0.0444 Epoch 30/30 625/625 [==============================] - 1s 1ms/step - loss: 0.0445 - mse: 0.0445 Training history across epochs for fold 3
82/82 [==============================] - 0s 929us/step 82/82 [==============================] - 0s 772us/step Vizualization for FDC for training fold (shown in dark hue) 3and predicted clusters from neural network on testing fold (shown in corresponding light hues) 3
Average percentage of patients belongs to the same cluster is: 90.8160548953181%
print('Average percentage of patients belonging to the same cluster over all three folds:', np.mean(np.array(fold_readings)))
Average percentage of patients belonging to the same cluster over all three folds: 88.75472609771448
np.random.seed(42)
FDC_emb_three_data=entire_data_FDC_emb_three.loc[list(data.index)] #5D FDC embeddings of training fold from entire data
FDC_emb_two_data=entire_data_FDC_emb_two.loc[list(data.index)] #2D embeddings of training fold from entire data
FDC_emb_three_data.columns=colnames
#Thirty dimensional data of training fold as features_matrix(X_train)
features_matrix=np.array(data.drop(cluster_column_names, axis=1,inplace=False)) #X_train
#Five dimensional FDC embeddings of training fold as target_matrix(y_train)
target_matrix=np.array(FDC_emb_three_data) #y_train
#Train a neural network to get five dimensional embeddings
model_1=neural_network(len(features_matrix[0]),int(0.6*len(features_matrix[0])),int(0.36*len(features_matrix[0])),len(target_matrix[0]),"relu","sigmoid","mse")
history=model_1.fit(features_matrix,target_matrix,epochs=30,batch_size=8)
print('\n')
print('Training history across epochs for training data ')
plt.plot(history.history['mse'],'r')
plt.ylabel('mse')
plt.xlabel('epoch')
plt.show()
#Using same thirty dimensional features_matrix(X_train) from first neural network and encoded cluster labels of training fold as target_labels_matrix(y_train)
target_labels_matrix=np.array(data.loc[:,cluster_column_names]) #y
#Train a neural network to get encoded cluster labels
model_2=neural_network(len(features_matrix[0]),int(0.6*len(features_matrix[0])),int(0.36*len(features_matrix[0])),len(target_labels_matrix[0]),"relu","softmax","mse")
history=model_2.fit(features_matrix,target_labels_matrix,epochs=30,batch_size=8)
print('\n')
print('Training history across epochs for training data ')
plt.plot(history.history['mse'],'r')
plt.ylabel('mse')
plt.xlabel('epoch')
plt.show()
#Decoding cluster labels of training fold
decoded_target_labels_matrix=label_decoder(target_labels_matrix)
#Actual encoded cluster labels of validation data for metric calculation
ref_clusters=data_val.loc[:,cluster_column_names]
#Decoding encoded cluster labels of validation data
decoded_ref_clusters=label_decoder(ref_clusters)
#predicting validation data to get five dim embeddings using trained model_1
validation_data=data_val.drop(cluster_column_names, axis=1,inplace=False)
predicted_3dim=pd.DataFrame(model_1.predict(validation_data), columns=colnames)
#UMAP on predicted 5D embeddings
predicted_2dim=feature_clustering(30,0.01, "euclidean", predicted_3dim, 0)
#predicting validation data to get encoded cluster labels using trained model_2
predicted_clusters=pd.DataFrame(model_2.predict(validation_data))
#Decoding predicted encoded cluster labels
decoded_predicted_clusters=label_decoder(predicted_clusters)
#concatinating training and predicted 5D embeddings
concatenated_3dim=pd.concat([FDC_emb_three_data,predicted_3dim])
#UMAP on concatinated embeddings
two_dim_viz=feature_clustering(30, 0.01, 'euclidean', concatenated_3dim, 0)
#Concatinating decoded cluster labels of training data and predicted validation data
concatenated_cluster_labels=np.concatenate([np.array(decoded_target_labels_matrix),np.array(decoded_predicted_clusters)+len(np.unique(decoded_target_labels_matrix))])
two_dim_viz['Cluster']= concatenated_cluster_labels
#Setting dark colors for training data
darkerhues=['lightcoral','cornflowerblue','orange','mediumorchid', 'lightseagreen','olive', 'chocolate','steelblue']
colors_set2=[]
for i in range(len(np.unique(decoded_target_labels_matrix))):
colors_set2.append(darkerhues[i])
#Concatinating dark colors for training data and corresponding light colors for validation data
colors_set2=colors_set2+["lightpink", 'skyblue', 'wheat', "plum","paleturquoise", "lightgreen", 'burlywood','lightsteelblue']
print('Vizualization for FDC for training data (shown in dark hue) '+ 'and predicted clusters from neural network on validation data (shown in corresponding light hues) ')
#visualizing the clusters of both training and validation data
sns.lmplot( x="UMAP_0", y="UMAP_1", data=two_dim_viz, fit_reg=False, legend=False, hue='Cluster', scatter_kws={"s": 3},palette=sns.set_palette(sns.color_palette(colors_set2)))
plt.show()
#Metric calculation
CIM_predicted=cluster_incidence_matrix_mod(np.array(decoded_predicted_clusters))#Cluster incidence metric for predicted clusters
CIM_reference=cluster_incidence_matrix_mod(np.array(decoded_ref_clusters))#Cluster incidence metric for reference clusters
Product=np.dot(CIM_predicted,CIM_reference)
cluster_incidences_in_data=np.sum(CIM_reference,axis=1)
mean_points_in_same_clusters=np.mean(np.diagonal(Product)/cluster_incidences_in_data)
fold_readings.append(mean_points_in_same_clusters*100)
print("Average percentage of patients belongs to the same cluster is: {}%".format(mean_points_in_same_clusters*100))
print('\n')
print('\n')
print('\n')
Epoch 1/30 950/950 [==============================] - 2s 1ms/step - loss: 0.5901 - mse: 0.5901 Epoch 2/30 950/950 [==============================] - 1s 985us/step - loss: 0.3964 - mse: 0.3964 Epoch 3/30 950/950 [==============================] - 1s 1ms/step - loss: 0.3718 - mse: 0.3718 Epoch 4/30 950/950 [==============================] - 1s 1ms/step - loss: 0.3571 - mse: 0.3571 Epoch 5/30 950/950 [==============================] - 1s 1ms/step - loss: 0.3479 - mse: 0.3479 Epoch 6/30 950/950 [==============================] - 1s 1ms/step - loss: 0.3402 - mse: 0.3402 Epoch 7/30 950/950 [==============================] - 1s 1ms/step - loss: 0.3287 - mse: 0.3287 Epoch 8/30 950/950 [==============================] - 1s 1ms/step - loss: 0.3157 - mse: 0.3157 Epoch 9/30 950/950 [==============================] - 1s 1ms/step - loss: 0.3020 - mse: 0.3020 Epoch 10/30 950/950 [==============================] - 1s 1ms/step - loss: 0.2823 - mse: 0.2823 Epoch 11/30 950/950 [==============================] - 1s 1ms/step - loss: 0.2641 - mse: 0.2641 Epoch 12/30 950/950 [==============================] - 1s 1ms/step - loss: 0.2486 - mse: 0.2486 Epoch 13/30 950/950 [==============================] - 1s 1ms/step - loss: 0.2360 - mse: 0.2360 Epoch 14/30 950/950 [==============================] - 1s 2ms/step - loss: 0.2247 - mse: 0.2247 Epoch 15/30 950/950 [==============================] - 2s 2ms/step - loss: 0.2153 - mse: 0.2153 Epoch 16/30 950/950 [==============================] - 1s 1ms/step - loss: 0.2073 - mse: 0.2073 Epoch 17/30 950/950 [==============================] - 1s 1ms/step - loss: 0.2017 - mse: 0.2017 Epoch 18/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1966 - mse: 0.1966 Epoch 19/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1934 - mse: 0.1934 Epoch 20/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1877 - mse: 0.1877 Epoch 21/30 950/950 [==============================] - 1s 1000us/step - loss: 0.1841 - mse: 0.1841 Epoch 22/30 950/950 [==============================] - 1s 993us/step - loss: 0.1835 - mse: 0.1835 Epoch 23/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1778 - mse: 0.1778 Epoch 24/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1751 - mse: 0.1751 Epoch 25/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1753 - mse: 0.1753 Epoch 26/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1738 - mse: 0.1738 Epoch 27/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1686 - mse: 0.1686 Epoch 28/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1688 - mse: 0.1688 Epoch 29/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1645 - mse: 0.1645 Epoch 30/30 950/950 [==============================] - 1s 1ms/step - loss: 0.1640 - mse: 0.1640 Training history across epochs for training data
Epoch 1/30 950/950 [==============================] - 2s 986us/step - loss: 0.1316 - mse: 0.1316 Epoch 2/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0641 - mse: 0.0641 Epoch 3/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0499 - mse: 0.0499 Epoch 4/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0484 - mse: 0.0484 Epoch 5/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0474 - mse: 0.0474 Epoch 6/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0467 - mse: 0.0467 Epoch 7/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0463 - mse: 0.0463 Epoch 8/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0458 - mse: 0.0458 Epoch 9/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0451 - mse: 0.0451 Epoch 10/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0440 - mse: 0.0440 Epoch 11/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0431 - mse: 0.0431 Epoch 12/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0424 - mse: 0.0424 Epoch 13/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0420 - mse: 0.0420 Epoch 14/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0414 - mse: 0.0414 Epoch 15/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0403 - mse: 0.0403 Epoch 16/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0399 - mse: 0.0399 Epoch 17/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0387 - mse: 0.0387 Epoch 18/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0381 - mse: 0.0381 Epoch 19/30 950/950 [==============================] - 1s 998us/step - loss: 0.0378 - mse: 0.0378 Epoch 20/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0371 - mse: 0.0371 Epoch 21/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0364 - mse: 0.0364 Epoch 22/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0364 - mse: 0.0364 Epoch 23/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0361 - mse: 0.0361 Epoch 24/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0356 - mse: 0.0356 Epoch 25/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0355 - mse: 0.0355 Epoch 26/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0354 - mse: 0.0354 Epoch 27/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0354 - mse: 0.0354 Epoch 28/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0355 - mse: 0.0355 Epoch 29/30 950/950 [==============================] - 1s 1ms/step - loss: 0.0347 - mse: 0.0347 Epoch 30/30 950/950 [==============================] - 1s 982us/step - loss: 0.0345 - mse: 0.0345 Training history across epochs for training data
80/80 [==============================] - 0s 791us/step 80/80 [==============================] - 0s 831us/step Vizualization for FDC for training data (shown in dark hue) and predicted clusters from neural network on validation data (shown in corresponding light hues)
Average percentage of patients belongs to the same cluster is: 85.21444166247146%